Factor Calculator

Factors of 730

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, and 730. In total, 730 has 8 factors. Its prime factorization is 2 × 5 × 73, and the sum of all its factors is 1332.

All factors of 730

Here are all 8 factors of 730, listed from smallest to largest.

1251073146365730

Factor pairs of 730

These 4 pairs of whole numbers each multiply to give 730.

1 × 730 = 730
2 × 365 = 730
5 × 146 = 730
10 × 73 = 730

Prime factorization of 730

Dividing 730 by the smallest prime at each step gives its prime factorization:

730 ÷ 2 = 365
365 ÷ 5 = 73
73 ÷ 73 = 1
Result: 730 = 2 × 5 × 73 = 2 × 5 × 73

The distinct prime factors of 730 are 2, 5, 73. To factorize any other number, use the prime factorization calculator.

Factor tree of 730

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 7307302365573
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 730

Number of factors8
Sum of factors1332
Sum of proper factors602
Prime factorization2 × 5 × 73
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 730 interesting

  • 730 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 730 is a deficient number: its proper factors sum to 602, which is 128 less than 730 itself.
  • 730 has 3 distinct prime factors (2, 5, 73), which is why it has so many divisors.

How to find the factors of 730 yourself

Divide 730 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √73027.02, because every factor above that pairs with one below it.

730 ÷ 1 = 730
730 ÷ 2 = 365
730 ÷ 5 = 146
730 ÷ 10 = 73

Reading both columns gives every factor: 1, 2, 5, 10, 73, 146, 365, 730. The factor calculator does this automatically for any number.

Frequently asked questions about 730

What are the factors of 730?

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, and 730. That is 8 factors in total, counting both 1 and 730.

Is 730 a prime number?

No, 730 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 730 is also divisible by 2.

What is the prime factorization of 730?

The prime factorization of 730 is 2 × 5 × 73. Written out in full: 2 × 5 × 73 = 730. Its distinct prime factors are 2, 5, 73.

What two numbers multiply to give 730?

There are 4 pairs of whole numbers that multiply to 730: 1 × 730, 2 × 365, 5 × 146, 10 × 73.

What is the sum of the factors of 730?

Adding all the factors of 730 together gives 1332. Excluding 730 itself, the proper factors sum to 602.

Is 730 a perfect square?

No, 730 is not a perfect square. There is no whole number that multiplies by itself to give 730. The nearest perfect squares are 729 and 784.

What is the largest factor of 730 other than itself?

The largest factor of 730 apart from 730 itself is 365, since 730 ÷ 365 = 2.

How many factors does 730 have?

730 has 8 factors: 1, 2, 5, 10, 73, 146, 365, and 730. You can verify this from the prime factorization 2 × 5 × 73: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 730 down further with the prime factorization calculator, or compare 730 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.